JEE Adv 2023 | In a circuit shown in the figure, the capacitor 𝐶 is initially uncharged..

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Question : In a circuit shown in the figure, the capacitor 𝐶 is initially uncharged and the key 𝐾 is open. In this condition, a current of 1 A flows through the 1 Ω resistor. The key is closed at time 𝑡 = 𝑡0. Which of the following statement(s) is(are) correct?
[Given: 𝑒−1 = 0.36]
(A) The value of the resistance 𝑅 is 3 Ω.
(B) For 𝑡 ⋖ 𝑡0, the value of current 𝐼1 is 2 A.
(C) At 𝑡 = 𝑡0 + 7.2 𝜇s, the current in the capacitor is 0.6 A.
(D) For 𝑡 → ∞, the charge on the capacitor is 12 𝜇C.

[erenyeager]

How one can say that direction of current in 2nd branch is from right to left.